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Finding the Fourth Proportional to 1,005.57, 1,385.69 and 725.31

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Solution

The fourth proportional to 1,005.57, 1,385.69 and 725.31 is: 999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.57 : 1,385.69 = 725.31 : x
  2. Step 2: Convert to fraction form
    1,005.57/1,385.69 = 725.31/x
  3. Step 3: Cross multiply
    1,005.57x = 1,385.69 × 725.31
  4. Step 4: Simplify right side
    1,005.57x = 1,005,051.19
  5. Step 5: Solve for x
    x = 1,005,051.19/1,005.57
  6. Step 6: Final answer
    x = 999.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.